Rings of integer-valued rational functions

DOI10.1016/S0022-4049(97)00120-5zbMath0929.13013MaRDI QIDQ1295602

Paul-Jean Cahen, K. Alan Loper

Publication date: 24 January 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

valuation domainBezout ringPrüfer ringinteger-valued polynomial\(D\)-rings

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

Paul-Jean Cahen (1946–2019) ⋮ The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring ⋮ The Zariski–Riemann space of valuation domains associated to pseudo-convergent sequences

Cites Work

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• Un anneau de Prüfer. (A Prüfer ring)
• On rings without a certain divisibility property
• Polynômes à valeurs entières sur un anneau de pseudovaluation. (Integer valued polynomials over a pseudovaluation ring)
• On a theorem of R. Gilmer
• On rings with a certain divisibility property
• On Prüfer non-\(D\)-rings
• Irredundant intersections of valuation rings
• On Prüfer domains of polynomials.
• Hilbert rings of integral-valued polynomials
• Les idéaux premiers de l'anneau des polynomes à valeurs entières.

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